3. Solve the following initial-boundary-value problem by using the separation of variables technique: (0 0), Utt = Uxx , with the prescribed boundary conditions u(0, t) = 0 , u(1, t) = 0, %3D t > 0, %3D and the initial conditions и(х,0) — 0, u(x, 0) = f(x), 0 < x < 1 where for 0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.